A body falls on a surface of coefficient of restitution $0.6 $ from a height of $1 \,m$. Then the body rebounds to a height of ...........  $m$

A metal ball falls from a height of $32$ metre on a steel plate. If the coefficient of restitution is $0.5$, to what height will the ball rise after second bounce ............ $m$

In $a$ smooth stationary cart of length $d, a$ small block is projected along it's length with velocity $v$ towards front. Coefficient of restitution for each collision is $e$. The cart rests on $a$ smooth ground and can move freely. The time taken by block to come to rest $w.r.t$. cart is 

A ball of mass $m$ suspended from a rigid support by an inextensible massless string is released from a height $h$ above its lowest point. At its lowest point, it collides elastically with a block of mass $2 m$ at rest on a frictionless surface. Neglect the dimensions of the ball and the block. After the collision, the ball rises to a maximum height of

In an elastic collision of two particles the following is conserved

Two balls of equal mass undergo head on collision while each was moving with speed $6 \,m / s$. If the coefficient of restitution is $\frac{1}{3}$, the speed of each ball after impact will be ............ $m / s$